Adiabatic Phase Diagram on Degenerate Fermi Gas with Feshbach-Resonance

TL;DR

This paper maps the adiabatic phase diagram of a Fermi gas with Feshbach resonance, elucidating the BCS-BEC crossover and molecular conversion efficiency based on initial temperature, aiding interpretation of recent experiments.

Contribution

It provides a detailed adiabatic phase diagram for a resonantly-coupled Fermi gas, incorporating entropy conservation and initial temperature effects, which was not previously established.

Findings

Adiabatic phase diagram for Fermi-Bose mixture determined

Molecular conversion efficiency as a function of initial temperature calculated

Insights into BCS-BEC crossover experiments provided

Abstract

We determine the adiabatic phase diagrams for a resonantly-coupled system of Fermi atoms and Bose molecules confined in a harmonic trap by using the local density approximation. The key idea of our work is conservation of entropy through the adiabatic process. We also calculate the molecular conversion efficiency as a function of the initial temperature. Our work helps to understand recent experiments on the BCS-BEC crossover, in terms of the initial temperature measured before a sweep of the magnetic field.